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Finding the Fourth Proportional to 223,921.92, 308,998.02 and 123,319.92

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Solution

The fourth proportional to 223,921.92, 308,998.02 and 123,319.92 is: 170,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,921.92 : 308,998.02 = 123,319.92 : x
  2. Step 2: Convert to fraction form
    223,921.92/308,998.02 = 123,319.92/x
  3. Step 3: Cross multiply
    223,921.92x = 308,998.02 × 123,319.92
  4. Step 4: Simplify right side
    223,921.92x = 38,105,611,106.56
  5. Step 5: Solve for x
    x = 38,105,611,106.56/223,921.92
  6. Step 6: Final answer
    x = 170,173.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.